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Let A, B and C be the sets such that A u...

Let `A`, `B` and `C` be the sets such that `A uu B=A uu C` and `A nn B = A nn C`. show that `B=C`

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To prove that \( B = C \) given the conditions \( A \cup B = A \cup C \) and \( A \cap B = A \cap C \), we can follow these steps: ### Step 1: Write down the given conditions We have two conditions: 1. \( A \cup B = A \cup C \) (Equation 1) 2. \( A \cap B = A \cap C \) (Equation 2) ### Step 2: Use Equation 1 and take the intersection with \( C \) ...
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